{
  "id": "1611.02087",
  "version": "v1",
  "published": "2016-11-07T14:57:11.000Z",
  "updated": "2016-11-07T14:57:11.000Z",
  "title": "The Space of Stability Conditions on the Projective Plane",
  "authors": [
    "Chunyi Li"
  ],
  "comment": "19 pages, comments are very welcome",
  "categories": [
    "math.AG"
  ],
  "abstract": "The space of Bridgeland stability conditions on the bounded derived category of coherent sheaves on P2 has a principle connected component Stab^\\dag(P2). We show that Stab^\\dag(P2) is the union of geometric and algebraic stability conditions. As a consequence, we give a cell decomposition for Stab^\\dag (P2) and show that Stab^\\dag(P2) is contractible.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-07T14:57:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "projective plane",
      "bridgeland stability conditions",
      "algebraic stability conditions",
      "coherent sheaves",
      "principle connected component"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}